Base | Representation |
---|---|

bin | 1010111111001000… |

… | …0000000000000000 |

3 | 21121112021211002200 |

4 | 2233302000000000 |

5 | 22014433320000 |

6 | 1204345513200 |

7 | 133040051331 |

oct | 25762000000 |

9 | 7545254080 |

10 | 2949120000 |

11 | 1283779562 |

12 | 6a37a2800 |

13 | 37ccab728 |

14 | 1dd960288 |

15 | 123d93500 |

hex | afc80000 |

2949120000 has 300 divisors, whose sum is σ = 10646181975. Its totient is φ = 786432000.

The previous prime is 2949119981. The next prime is 2949120001. The reversal of 2949120000 is 219492.

Adding to 2949120000 its reverse (219492), we get a palindrome (2949339492).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 681836544 + 2267283456 = 26112^2 + 47616^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=38400.

It is not an unprimeable number, because it can be changed into a prime (2949120001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 589823998 + ... + 589824002.

Almost surely, 2^{2949120000} is an apocalyptic number.

2949120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949120000

2949120000 is an abundant number, since it is smaller than the sum of its proper divisors (7697061975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2949120000 is an frugal number, since it uses more digits than its factorization.

2949120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2949120000 is about 54305.8007951268. The cubic root of 2949120000 is about 1434.0495188983.

The spelling of 2949120000 in words is "two billion, nine hundred forty-nine million, one hundred twenty thousand".

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